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10295904 = 253234663
BaseRepresentation
bin100111010001…
…101001100000
3201101002022210
4213101221200
510113432104
61004402120
7153341133
oct47215140
921332283
1010295904
1158a2513
123546340
132196468
14152021a
15d85989
hex9d1a60

10295904 has 48 divisors (see below), whose sum is σ = 28207872. Its totient is φ = 3282048.

The previous prime is 10295821. The next prime is 10295921. The reversal of 10295904 is 40959201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124 + ... + 4539.

It is an arithmetic number, because the mean of its divisors is an integer number (587664).

Almost surely, 210295904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10295904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14103936).

10295904 is an abundant number, since it is smaller than the sum of its proper divisors (17911968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10295904 is a wasteful number, since it uses less digits than its factorization.

10295904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 10295904 is about 3208.7231105223. The cubic root of 10295904 is about 217.5478663312.

The spelling of 10295904 in words is "ten million, two hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 4663 9326 13989 18652 27978 37304 55956 74608 107249 111912 149216 214498 223824 321747 428996 447648 643494 857992 1286988 1715984 2573976 3431968 5147952 10295904